Theorems · Theorem · group theory

CoxeterSystem.wordProd_append

∀ {B : Type u_1} {W : Type u_3} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (ω ω' : List B),
  cs.wordProd (ω ++ ω') = cs.wordProd ω * cs.wordProd ω'

Defined in

Mathlib.GroupTheory.Coxeter.Basic

Cited by

5 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Group